Lectures related to Infinitesimal strain theory

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Solid mechanics in biomechanics: Large strain and stress definitions

Explores large strain in soft tissues and various stress definitions in solid mechanics.

Nonlinear Analysis of Structures: Beam-Column Elements

Covers beam-column elements, limitations of plasticity models, and nonlinear geometric transformations in structural analysis.

Torsion of Axisymmetric Cross Sections

Explores the torsion of axisymmetric cross sections, focusing on circular bars of linearly elastic materials and their efficiency in resisting torsional loads.

Strains by Digital Image Correlation (DIC)

Explores equipment setup, calibration, and correlation of images using Digital Image Correlation (DIC) to analyze strain fields.

Solid Mechanics: Stress, Strain, Invariants

Explores stress, strain invariants, constitutive laws, failure criteria, and material properties in solid mechanics.

Relative Deformation in 3D: Strain Matrix Log in to Mediaspace to watch this video

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.

Deformation Analysis: Small Strain and Kinematics Log in to Mediaspace to watch this video

Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.

Linear Elasticity: 3D Log in to Mediaspace to watch this video

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.

Nonlinear Beam Theory: Mechanics of Slender Structure Log in to Mediaspace to watch this video

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Plates II: Föppl-von Kármán Equations Log in to Mediaspace to watch this video

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Linear Elasticity: Equations of Linear Elasticity Log in to Mediaspace to watch this video

Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.

Stiffness vs Strength: Deformation and Load Log in to Mediaspace to watch this video

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

3D Linear Elasticity & Beams Log in to Mediaspace to watch this video

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Plates II: Föppl-von Kármán Equations Log in to Mediaspace to watch this video

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Linear Elasticity in 3D: Beam Bending Log in to Mediaspace to watch this video

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Structural Mechanics: Beam Bending and Boundary Conditions Log in to Mediaspace to watch this video

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Relative Deformations in 3D Log in to Mediaspace to watch this video

Explores normal and shear strains, displacement fields, and the matrix of relative strains in 3D.

The Strain Tensor: Derivation and Properties Log in to Mediaspace to watch this video

Explores the derivation and properties of the strain tensor, emphasizing the complexities of shear strain components.

Mechanics of Slender Structure: Loaded Beam Approximations Log in to Mediaspace to watch this video

Covers matched approximations of a loaded beam, focusing on strain approximation and constitutive models.